This paper reports estimates of the UK 'college premium' for young graduates across successive cohorts from large cross section datasets for the UK pooled from 1994 to 2006 - a period when the higher education participation rate increased dramatically. This implies that graduate supply considerably outstripped demand which ought to imply a fall in the premium. We find no significant fall for men and even a large, but insignificant, rise for women. Quantile regression results reveal a fall in the premium only for men in the bottom quartile of the distribution of unobserved skills.